Fourier-Jacobi coefficients of Eisenstein series on unitary groups

This paper studies the Fourier-Jacobi expansions of Eisenstein series on U(3, 1). I relate the Fourier-Jacobi coefficients of the Eisenstein series with special values of L-functions. This relationship can be applied to verify the existence of certain Eisenstein series on U(3, 1) that do not vanish modulo p. This is a crucial step towards one divisibility of the main conjecture for GL(2) x K-x using the method of Eisenstein congruences.